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Finding the Fourth Proportional to 14,114.21, 19,473.14 and 8,812.08

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Solution

The fourth proportional to 14,114.21, 19,473.14 and 8,812.08 is: 12,157.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,114.21 : 19,473.14 = 8,812.08 : x
  2. Step 2: Convert to fraction form
    14,114.21/19,473.14 = 8,812.08/x
  3. Step 3: Cross multiply
    14,114.21x = 19,473.14 × 8,812.08
  4. Step 4: Simplify right side
    14,114.21x = 171,598,889.56
  5. Step 5: Solve for x
    x = 171,598,889.56/14,114.21
  6. Step 6: Final answer
    x = 12,157.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.